An alternative approach to Cigler's \(q\)-Lucas polynomials

DOI10.1016/j.amc.2013.10.009zbMath1354.11018OpenAlexW2056424172MaRDI QIDQ505810

Athmane Benmezai, Hacène Belbachir

Publication date: 26 January 2017

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.10.009

zbMATH Keywords

\(q\)-calculusFibonacci numbers and polynomialsLucas numbers and polynomials

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (6)

On the self-convolution of generalized Fibonacci numbers ⋮ A \(q\)-analogue of the bi-periodic Fibonacci and Lucas sequences and Rogers-Ramanujan identities ⋮ A \(q\)-analogue for bi\(^{s}\)nomial coefficients and generalized Fibonacci sequences ⋮ Preserving log-concavity for p,q-binomial coefficient ⋮ Unnamed Item ⋮ Companion sequences associated to ther-Fibonacci sequence: algebraic andcombinatorial properties

Cites Work

• A new class of \(q\)-Fibonacci polynomials
• On some properties on bivariate Fibonacci and Lucas polynomials
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